Search a number
-
+
101144431122 = 2372408200741
BaseRepresentation
bin101111000110010101…
…1011000101000010010
3100200001221002110121120
41132030223120220102
53124120433243442
6114244244103110
710210311323250
oct1361453305022
9320057073546
10101144431122
1139993438149
1217729094a96
1396cb948b17
144c770475d0
15296e94a4ec
hex178cad8a12

101144431122 has 16 divisors (see below), whose sum is σ = 231187271232. Its totient is φ = 28898408880.

The previous prime is 101144431121. The next prime is 101144431133. The reversal of 101144431122 is 221134441101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101144431092 and 101144431101.

It is not an unprimeable number, because it can be changed into a prime (101144431121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204100329 + ... + 1204100412.

It is an arithmetic number, because the mean of its divisors is an integer number (14449204452).

Almost surely, 2101144431122 is an apocalyptic number.

101144431122 is an abundant number, since it is smaller than the sum of its proper divisors (130042840110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101144431122 is a wasteful number, since it uses less digits than its factorization.

101144431122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408200753.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101144431122 its reverse (221134441101), we get a palindrome (322278872223).

The spelling of 101144431122 in words is "one hundred one billion, one hundred forty-four million, four hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 2408200741 4816401482 7224602223 14449204446 16857405187 33714810374 50572215561 101144431122